We're dividing 505577 by 25 
We want to figure out the number of times 505577 can be divided by 25.

Advancing to step 1:
25 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 25

Step 2:
25 goes into 50 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 50 away from 50, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 25

Moving on to step 3:
25 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 25

Moving on to step 4:
If we divide 55 by 25, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 202.0
Subtracting 50 from 55 leaves us with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 25

Moving on to step 5:
When dividing 57 by 25, we get 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2022.0
The remainder is 7 after subtracting 50 from 57.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 25

Moving on to step 6:
77 divided by 25 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 20223.0
If we subtract 75 from 77, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
When dividing 20 by 25, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 20223.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
25 can be fit into 200 8 times, resulting in a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 20223.08
If we take 200 away from 200, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 20223.08
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 20223.08
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 20223.08 and a remainder of 0.0.